Finding the Third Proportional to 52,352 and 116,314

Step by Step Solution

1. Step 1: Write the proportion equation
   52,352 : 116,314 = 116,314 : x
2. Step 2: Convert to fraction form
   52,352/116,314 = 116,314/x
3. Step 3: Cross multiply
   52,352x = 116,314 × 116,314
4. Step 4: Simplify right side
   52,352x = 13,528,946,596
5. Step 5: Solve for x
   x = 13,528,946,596/52,352
6. Step 6: Final answer
   x = 258,422.73